If the velocity of a pitched ball has a magnitude of 41.0 m/s and the batted ball's velocity is 50.0 m/s in the opposite direction, find the magnitude of the change in momentum of the ball and of the impulse applied to it by the bat.
The change in momentum is (91 m/s) multiplied by the mass of the ball (which you neglected to mention). That's exactly the impulse delivered by the bat.